Bram's father, Bill, coached her in
junior. She led the
St. Adolphe Hawks in scoring in 2005–06. In 2006, she participated in the Mac's Midget Tournament with the Blazers of
Balmoral Hall School. In addition, she won a silver medal with the Assiniboine Park Rangers at the 2006 Western Shield. With Team Manitoba, Bram won a bronze medal with Manitoba at the 2007 National Women's Under-18 Championships. In the same year, she won a silver medal with Manitoba at the 2007
Canada Winter Games. Bram won a gold medal at the Balmoral Hall tournament in 2007 and she captained Balmoral Hall and finished third in team scoring in 2007–08.
NCAA During the
2008–09 season, Bram led all
Mercyhurst Lakers and
College Hockey America (CHA)
freshmen in scoring. In addition, she posted a seven-game point-scoring streak (four goals, six assists) from Feb. 21 through NCAA semifinal vs. No. 2 Minnesota on March 20. She recorded her first career goal, a game-winner, in first game, October 10, 2008, at Boston University. Seven days later, she recorded two assists, helping on Valerie Chouinard's game-winner, October 17 vs.
Renssalaer. She scored two goals October 31 at
Colgate and she scored a
hat-trick, including the game-winner, February 7 at
Niagara. Bram netted the game-winner in each game during weekend series February 27 and 28 at
Wayne State. She scored multiple goals in two games and two or more points in seven contests. In March 2009, Bram competed in the NCAA Frozen Four along with two other players from her hometown of Ste. Anne, Manitoba, population 1,500. Known colloquially as the Ste. Anne Three, Bram,
Jocelyne Larocque of the
Minnesota Duluth Bulldogs, and senior captain of the
Minnesota Golden Gophers,
Melanie Gagnon competed in the event. On March 13, 2010: Bram scored two goals, including the game winner as the Lakers beat
Boston University by a score of 4–1 in the NCAA Regionals. On October 15, 2010: Bram registered two assists, including her 100th career point, in a game against the
Bemidji State Beavers. She became the 11th Lakers player to crack the century mark in the 4–0 win. On January 14 and 15, 2011, Bram combined for nine points in the two wins over
Brown. In the first win, Bram accumulated three assists for a 6–0 score. The following day, she registered two goals and four assists for a career-high six points. In addition, Mercyhurst notched 12 goals in a game for the first time since the 1999–2000 season. On February 25, 2011, (in the second period of a 6–2 win versus the
Robert Morris Colonials), Bailey Bram assisted on
Meghan Agosta's 151st career goal. The goal made Agosta the all-time leading goal scorer in NCAA history. During the
2011–12 Mercyhurst Lakers women's ice hockey season, Bram experienced several milestones. She played in her 100th game for the Lakers on October 1, 2011. She would be held pointless as the Lakers would lose the game by a 1–0 tally to
Quinnipiac. It was Quinnipiac's first victory over Mercyhurst in twelve regular season matches. Two weeks later (on October 15), Bram would register a hat trick as the Lakers blanked the
Providence Friars women's ice hockey program by a 5–0 tally. On October 28, 2011, her sister (and Mercyhurst teammate) Shelby Bram would score her first career NCAA goal as Mercyhurst defeated the
Lindenwood Lady Lions by a 7–0 tally. Of note, the October 28 match, marked the first time that Lindenwood hosted an NCAA Division I opponent in their home arena. Bailey also scored a goal in the game, marking the first time that the two sisters scored a goal in the same NCAA game. In the following match versus Lindenwood, Bailey and her younger sister, Shelby, would each score two goals as the Lakers emerged as the victor in a 14–0
whitewash. Bailey Bram increased her scoring pace by notching five goals to go with five assists in two victories over the
Yale Bulldogs on November 18 and 19, 2011. In the 9–1 win on November 18, Bram registered two goals and logged two assists. The following day, she had a hand in all six goals (three goals and three assists) in the Lakers 6–2 win. Bram earned her fifth career hat trick and second of the
2011–12 Mercyhurst Lakers women's ice hockey season. In the two game set versus the Bulldogs, her plus minus rating was a +6, while her six-point game on November 19 was the second time in the season that she registered at least six points in a game. Her first was a career-high seven points in a win over the Lindenwood Lady Lions. Statistically, she logged 14 goals and 11 assists in the first 10 games she played of the season. On December 10, 2011, Bram had three assists, including one on the game-winner in a 3–2 overtime victory versus
Boston College. It gave her 40 points in the first 16 games of the 2011–12 season. Of note, the assist on the game-winning goal helped
Hillary Pattenden gain the 91st victory of her NCAA career, which tied former
Wisconsin goaltender
Jessie Vetter for the NCAA Division I record. In a series versus CHA opponent Niagara on February 3–4, 2012, Bram had a five-point weekend. In the first game, she logged two goals, her first since December 15, to contribute to a 6–1 Lakers win. In the following game, a 3–3 draw, Bram had a hand in all three goals with one goal and two helpers. It was her 10th three-point game of the season. Of note, her first period goal was her 11th power play goal of the season, giving her the NCAA lead in that category. Her 2.46 points per game average also led the NCAA.
CWHL Bram was selected by the
Brampton Thunder in the
2012 CWHL Draft. She would help the club qualify for the
2013 Clarkson Cup playoffs while finishing among the league's Top 20 scorers. Bram made her CWHL Debut on October 20, 2012, versus the Toronto Furies. During the second period, she would assist on a goal scored by
Vicki Bendus, who also played with Bram at Mercyhurst. The following day, Bram would net her first CWHL goal, scoring on Furies goaltender Christina Kessler. Coincidentally, Bendus gained the assist on said goal, which was also scored in the second period. Adding to the milestone was that it was the first-ever CWHL victory for goaltender
Florence Schelling. In August 2014, Bram was traded to the
Calgary Inferno for
Jocelyne Larocque. Bram would make her debut for the Calgary Inferno on October 18, 2014, gaining a pair of assists in the first period of an eventual 5–4 loss versus the Toronto Furies. Of note, her first assist was credited on a power play goal scored by
Haley Irwin, while the second was scored by
Sarah Davis. Bram's first goal as a member of the Inferno occurred on October 25, 2014. Scoring the first goal of the game for the Inferno, Louise Warren and Erica Kromm gained the assists. Bram would score on goaltender
Catherine Herron in a 4–1 loss. Appearing with the
Calgary Inferno in the 2016 Clarkson Cup finals, Bram logged a −1 rating as the Inferno emerged victorious in a convincing 8–3 final.
Swedish Riksserien In 2014, Bram went overseas to play in the Swedish
Riksserien, signing with
Linköping Hockey Club (LHC) on January 15, 2014. Bram won the Swedish Championship with LHC, the first for the team, on March 19, 2014. Bram scored the winning goal in the sudden death period in the final against
Modo. ==Hockey Canada==